(λ, μ)-Statistical convergence of double sequences in n-normed spaces
Note di Matematica, cilt.32, sa.2, ss.101-114, 2012 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 32 Sayı: 2
- Basım Tarihi: 2012
- Doi Numarası: 10.1285/i15900932v32n2p101
- Dergi Adı: Note di Matematica
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.101-114
- Anahtar Kelimeler: Statistical convergence, lambda-statistical convergence, double sequence, n-norm
- İstanbul Ticaret Üniversitesi Adresli: Evet
Özet
In this paper, we introduce the concept of (λ, μ)-statistical convergence in n-normed spaces, where λ = (λr) and μ = (μs) be two non-decreasing sequences of positive real numbers, each tending to ∞ and such that λr+1 ≤ λr + 1, λ1 = 1; μs+1 ≤ μs + 1, μ1 = 1. Some inclusion relations between the sets of statistically convergent and (λ, μ)-statistically convergent double sequences are established. We find its relation to statistical convergence, (C, 1, 1)-summability and strong (V, λ, μ)-summability in n-normed spaces. © 2012 Università del Salento.